The Canaries are bottom of the Premier League on current form with just one point from their last six games.
And their already fragile confidence was left in shreds after a 1-0 home defeat by non-League Luton in the FA Cup at the weekend.
"Every season is full of ups and downs, twists and turns," said Snodgrass.
"Southampton, Reading... everybody has been through this. You just have to show character and dig deep. We just need to start grinding out a few results to pick ourselves up and bounce straight back."